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Simplifying 8x + 8 + 7x + 42 = x + 1 + 7 + -7x Reorder the terms: 8 + 42 + 8x + 7x = x + 1 + 7 + -7x Combine like terms: 8 + 42 = 50 50 + 8x + 7x = x + 1 + 7 + -7x Combine like terms: 8x + 7x = 15x 50 + 15x = x + 1 + 7 + -7x Reorder the terms: 50 + 15x = 1 + 7 + x + -7x Combine like terms: 1 + 7 = 8 50 + 15x = 8 + x + -7x Combine like terms: x + -7x = -6x 50 + 15x = 8 + -6x Solving 50 + 15x = 8 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 50 + 15x + 6x = 8 + -6x + 6x Combine like terms: 15x + 6x = 21x 50 + 21x = 8 + -6x + 6x Combine like terms: -6x + 6x = 0 50 + 21x = 8 + 0 50 + 21x = 8 Add '-50' to each side of the equation. 50 + -50 + 21x = 8 + -50 Combine like terms: 50 + -50 = 0 0 + 21x = 8 + -50 21x = 8 + -50 Combine like terms: 8 + -50 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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